Given X follows a normal distribution with u=100 and o =10 , what is the pr obability that X<95 or X>125 ? DA. 0.9842 B. 0.3147 OC. 0.9622 OD. 0.9772

Q: et X, has a normal distribution with a mean of 100 and a standard deviation of 4. the z value for X…

A: Given,μ=100σ=4x=80z=?

Q: Find the area under the standard normal distribution curve if z=± 1.35. a. 0.8232 b. 0.4115 c.…

A: Standard normal score: The standard normal score follows normal distribution with mean 0 and…

Q: find z such that 99.31% of the  normal curve lies to the left of z and sketch it

A: Obtain the value of z such that 99.31% of the normal curve lies to the left of z. The value of z…

Q: Which proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Solution: Here, it is needed to find the proportion of a normal distribution is located between z=0…

Q: Which of the following is not true about the Normal curve? Select one or more: U A. The total area…

A: Option C and D are the correct answers.     The normal curve has only one mode, so option B is True,…

Q: I. Find the area under the standard normal distribution curve. 1. Between z = 0 and z = 1.77 2.…

A: Since you have posted a question with multiple sub-parts, we will solve first 3 sub-parts for you.…

Q: 5. Find the area under the standard normal distribution curve. A. z=0 and z=2.23 B. To the right of…

A: X~N( 0 , 1 )μ=0  , ?=1 (for standard normal distribution)Z-score =( x - μ )/?

Q: Which is true about the standard normal curve?

A: here use basic of normal curve

Q: If Z is a standard normal variable find P(Z>-3.00)

A: It is an important part of statistics. It is widely used.

Q: A rv X has a normal distribution with o=10. If the prob is 0.8212 that it will take on a value…

A:

Q: 1. a.For a standard normal curve, find the area to the left of z = –1.3. (Use 4 decimal places.)…

A: (a) Obtain the area to the left of Z= –1.3. The area to the left of Z= –1.3 is obtained below as…

Q: Given that Z has the starndard normal distribution, determine P(Z < 1.64) OA. 0,9495 OB. 0,8596 OC.…

A: Let Z be the standard normal variable with parameters μ=0 and σ=1 That is, Z follows N(μ=0,σ=1)

Q: For a standard normal distribution, given: P(z < c) = 0.2665 Find c. .3949

A:

Q: A. Find the area under the standard normal distribution curve. 1. Between Z 0 and 2= 1.49 2. To the…

A:

Q: Given a normal distribution with µ = 30 and o = 6, find a. The normal curve area to the right x =…

A: As per guideline expert have to answer first question three subparts only dear student please upload…

Q: The value of the standard deviation o of a normal distribution is always O a. Equal to zero b.…

A: Basics: We know that , standard normal distribution  with mean of 0 and standard deviation of 1. i.e…

Q: Assume the random variable X is normally distributed with mean u= 50 and standard deviation o=7.…

A: Let X be the random variable from normal distribution with mean (μ) = 50  and standard deviation (σ)…

Q: 1.) For the standard normal distribution, find The area within one standard deviation(|z|<1). Your…

A: Given : Standard normal variable Z Z~N(0,1)Mean=0 Standard deviation (sd)=1

Q: A Cl estimate is designed for the gain in the circuit on a device. Assume that gain is a normal…

A:

Q: For a Normal distribution with μ=11.9μ=11.9 and σ=2.9σ=2.9. What proportion of observations have…

A: Obtain the standard z-score for the random variable equals 7. The standard z-score for the random…

Q: 1. Find the area under the standard normal distribution curve for the following intervals. Please…

A: The z-scores are given to obtain the area under the standard normal distribution curve

Q: The standard normal curve shown below is a probability density curve for a continuous random…

A: As per our guidelines we are supposed to answer only one question,  please repost the other question…

Q: Let X has a normal distribution with a mean of 120 and a standard deviation of 20. The z value…

A:

Q: For a standard normal distribution, P(z = 0) is equal to a. 1 b. 0.50 c. 0.33 d. O

A: Given Z = 0

Q: a. For the given standard normal distribution, find the value of k, such that P(z < k) = 0.0934…

A:

Q: For a normal distribution with a mean of µ = 80 and a standard deviation of σ = 10, what is p(X<95)?…

A:

Q: A vertical line drawn through a normal distribution at z = -0.72 separates the distribution into two…

A: Given :  A vertical line drawn through a normal distribution at z = -0.72 separates the distribution…

Q: Find the area under the normal curve given the z-scores. A. Using Standard Normal Distribution Table…

A:

Q: Let Z be the standard normal variable. Make a sketch of the appropriate region under the standard…

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…

Q: For a normal distribution with a mean of μ = 90 and a standard deviation of σ = 5, what is p(X>87)?…

A: We have given the following information about the normal distribution Mean = 90 Standard deviation…

Q: A vertical line is drawn through a normal distribution at z- 080 What proportion of the distribution…

A: Standard Normal distribution.

Q: What proportion of observations have values less than 7? Round to fourth decimal

A: From the provided information,    Mean of normal distribution µ=11.9 And standard deviation is σ=2.9…

Q: Below is a graph of a normal distribution with mean μ=-2 and standard deviation G=3. The shaded…

A: GivenMean(μ)=-2standard devaition(σ)=3

Q: Given a standard normal distribution, find the area under the curve that lies: a. to the left of z =…

A: We have given that the different z-scores.    Note: P-value is taken from standard normal…

Q: A. 0.0013 B. 0.3446 C. 0.4968 D. 0.8238 E. None of the above

A:

Q: Problem 2 Let (,,P) be a probability space. (1) For measurable events A,B,CE A with P(C) >0 and…

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you…

Q: Given that Z is a standard normal variable, the value z for which P(Z ≤ z) = 0.2580 is: Select one:…

A:

Q: and σ=10, wh

A: Here it is given that-  Mean (μ) = 90 Standard deviation (δ) =  10 Let, X be a random variable which…

Q: Find the proportion of observations from a Standard Normal Distribution N(0,1) that satisfies z…

A: It is given that z be a standard normal distribution. To find the area under the standard normal…

Q: For a standard normal distribution, find � if P(z > c) = 0.2323 Use 2 decimal places. �=

A: given data standard normal distributionZ~N(0,1)P(z&gt;c) = 0.2323C = ?

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!